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DP Year 2 Mathematics: Applications & Interpretation

Mathematics

The DP Year 2 (Grade 12) Mathematics: Applications & Interpretation (AI) curriculum is the culmination of a two-year course offered at both Standard Level (SL) and Higher Level (HL). It is designed for students who are interested in developing their mathematics for describing our world and solving practical problems, with a strong emphasis on using technology to explore mathematical models and real-world contexts . The course is organized into five core topics—Number and Algebra, Functions, Geometry and Trigonometry, Probability and Statistics, and Calculus—with the HL course including significant additional depth in areas like complex numbers, matrices, eigenvalues, graph theory (Chinese postman problem, travelling salesman problem), advanced hypothesis testing (t-tests, chi-squared tests), Markov chains, and further calculus techniques like volumes of revolution and differential equations . In the final year, students consolidate their understanding of these topics, with SL students typically covering introductory differential calculus, geometry and trigonometry, and number theory, while HL students explore the more advanced extensions . Students finalize their Internal Assessment (IA), an individual mathematical exploration worth 20% of the final grade, where they independently investigate a real-world issue of their choice using mathematical modeling and data analysis . External assessment consists of two examination papers at SL and three papers at HL, with Papers 1 and 2 featuring short-response and extended-response questions, and HL students sitting Paper 3 which contains extended-response problem-solving questions based on unseen stimulus material.

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Mathematics
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